3978540720 has 640 divisors, whose sum is σ = 17998848000. Its totient is φ = 782576640.

The previous prime is 3978540703. The next prime is 3978540737. The reversal of 3978540720 is 270458793.

3978540720 is a `hidden beast` number, since 39 + 7 + 8 + 540 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3978540703) and next prime (3978540737).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3159451 + ... + 3160709.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 2^3978540720 is an apocalyptic number.

3978540720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3978540720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999424000).

3978540720 is an abundant number, since it is smaller than the sum of its proper divisors (14020307280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3978540720 is a wasteful number, since it uses less digits than its factorization.

3978540720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3978540720 is about 63075.6745504953. The cubic root of 3978540720 is about 1584.5572534294.

The spelling of 3978540720 in words is "three billion, nine hundred seventy-eight million, five hundred forty thousand, seven hundred twenty".